Examples of 'connected graph' in a sentence

Meaning of "connected graph"

connected graph: Refers to a network of points or nodes linked by lines or edges, where every node is reachable from every other node in the graph
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  • A graph in which there is a route of edges and nodes connecting any two nodes.

How to use "connected graph" in a sentence

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connected graph
An undirected connected graph with no cut edges.
We can therefore visualise triples as a connected graph.
The line graph of a connected graph is connected.
A connected graph without any cycle is a tree.
A trajectory graph may not be a connected graph.
A tree is a connected graph with no simple circuits.
A tree is an acyclic and connected graph.
A tree is a connected graph which contains no cycles.
A strong orientation is an orientation that results in a strongly connected graph.
A connected graph without a circuit is called a tree.
Strongly connected graph.
A connected graph without circuits is called a tree.
This is a connected graph.
Any connected graph without simple cycles is a tree.
We assume a connected graph.

See also

A connected graph that contains no cycles is called a tree.
Let be a connected graph.
A connected graph with even degree has an Eulerian trail.
Graph theory Every connected graph has a spanning tree.
The algebraic connectivity of a graph G is greater than 0 if and only if G is a connected graph.
Every finite connected graph has a spanning tree.
Let G be a weighted and connected graph.
A tree is a connected graph with no cycles.
In particular, the adjacency matrix of a strongly connected graph is irreducible.
The cube of every connected graph necessarily contains a Hamiltonian cycle.
Let G be a finite connected graph.
Let Γ be a connected graph where the degree of every vertex is finite.
Let Γ be a finite connected graph.
Tree A strongly connected graph which does not contain any cycle is a tree.
We find a kind of sufficient conditions for a 3-edge connected graph to be collapsible.
A tree is a connected graph with no cycles; a forest is a disjoint union of trees.
Finding the shortest path in a weighted, undirected connected graph took time m times the logarithm of n.
Every connected graph is an expander ; however, different connected graphs have different expansion parameters.
The universal covering graph T of a connected graph G can be constructed as follows.
For any connected graph G, it is possible to construct its universal covering graph.
Thus, The line graph of a connected graph is connected.
Said routing graph may be a tree i.e., a non-directional, acyclic and connected graph.
Abstract, A map is a connected graph embedded in a surface.
The Euler characteristic of any plane connected graph G is 2.
That is, a 1-tree is a connected graph containing exactly one cycle.
Therefore, it is a connected graph.
Prove that a connected graph with n vertices must have at least n-1 edges.
Therefore, if Zorn's lemma is assumed, every infinite connected graph has a spanning tree.
Consider a simple connected graph G with order n, size m and domination number γ {\displaystyle \gamma.
It is, then, a completely connected graph.
The number t ( G ) of spanning trees of a connected graph is a well-studied invariant.
A common model is as follows, given a connected graph G = ( V, E ) with non-negative edge weights.

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Examples of using Graph
The following graph synthesizes this view
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